Adding and Subtracting Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then add the numerators and keep the denominator the same.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then subtract the numerators and keep the denominator the same.

Front

What is a Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that two or more denominators share. It is used to convert fractions to have a common denominator for addition or subtraction.

Front

How do you find the Least Common Denominator of two fractions?

Back

To find the Least Common Denominator of two fractions, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the sum of 1/3 and 1/2?

Back

The sum of 1/3 and 1/2 is 5/6. (LCD is 6, convert to 2/6 + 3/6 = 5/6).

Front

What is the difference between 1/2 and 1/6?

Back

The difference between 1/2 and 1/6 is 1/3. (LCD is 6, convert to 3/6 - 1/6 = 2/6 = 1/3).

Front

How do you convert fractions to have a common denominator?

Back

To convert fractions to have a common denominator, multiply the numerator and denominator of each fraction by the necessary factor to reach the least common denominator.

Front

What is the weight of a mixture of 4/7 ton of sand and 1/3 ton of concrete?

Back

The weight of the mixture is 19/21 ton. (Convert to common denominator: 12/21 + 7/21 = 19/21).

Front

If Cora served 1/2 gallon of hot chocolate and 1/10 gallon of apple cider, how much did she serve in total?

Back

Cora served a total of 3/5 gallon. (Convert to common denominator: 5/10 + 1/10 = 6/10 = 3/5).

Front

What is the sum of 2/5 and 2/10?

Back

The sum of 2/5 and 2/10 is 3/5. (LCD is 10, convert to 4/10 + 2/10 = 6/10 = 3/5).